Finding the Fourth Proportional to 10,758, 16,137.61 and 3,832.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,758 : 16,137.61 = 3,832.50 : x
2. Step 2: Convert to fraction form
   10,758/16,137.61 = 3,832.50/x
3. Step 3: Cross multiply
   10,758x = 16,137.61 × 3,832.50
4. Step 4: Simplify right side
   10,758x = 61,847,390.33
5. Step 5: Solve for x
   x = 61,847,390.33/10,758
6. Step 6: Final answer
   x = 5,748.97